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212205210 = 23571010501
BaseRepresentation
bin11001010010111…
…11111010011010
3112210022010211020
430221133322122
5413311031320
633020143310
75154500040
oct1451377232
9483263736
10212205210
11a9869a08
125b097b36
1334c6b819
142027c390
151396a940
hexca5fe9a

212205210 has 32 divisors (see below), whose sum is σ = 582049152. Its totient is φ = 48504000.

The previous prime is 212205181. The next prime is 212205211. The reversal of 212205210 is 12502212.

212205210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122052102 = 90062102302288200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212205210.

It is not an unprimeable number, because it can be changed into a prime (212205211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505041 + ... + 505460.

It is an arithmetic number, because the mean of its divisors is an integer number (18189036).

Almost surely, 2212205210 is an apocalyptic number.

212205210 is an abundant number, since it is smaller than the sum of its proper divisors (369843942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212205210 is a wasteful number, since it uses less digits than its factorization.

212205210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010518.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 212205210 is about 14567.2650144082. The cubic root of 212205210 is about 596.4655255904.

Adding to 212205210 its reverse (12502212), we get a palindrome (224707422).

The spelling of 212205210 in words is "two hundred twelve million, two hundred five thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1010501 2021002 3031503 5052505 6063006 7073507 10105010 14147014 15157515 21220521 30315030 35367535 42441042 70735070 106102605 212205210